Question

!HELP! SHOW WORK PLEASE SO I CAN UDNERSTAND!

Answer 1

The formula for the volume of a cone is π r²h/3. You are given the height and the diametre of the cone. You need the radius which is half the diametre (4). So, f you were to write this out, it would look like this:

3.14 × 4² × 10/3 

your answer is going to be 167 cm³

Answer 2

Ok.

The volume of a cone is the volume of a cylinder over 3.

The volume of a cone is:
$\frac{1}{3} \pi r^{2}h$

This problem gives us the diameter, which is twice of the radius.  So, we'll just half it.
Radius (me) = 4 cm.

Substitute our given values into the equation.
$\frac{1}{3} \pi (4)^{2}h \ or \ \frac{1}{3} \pi (4)^{2}(10) \ or \ \frac{1}{3} \pi (16)(10)$

Multiply
$\frac{1}{3} \pi(160) \ or \ \frac{1}{3} (3.14)(160) \ or \ 1.047(160)$

Multiply
$167.52 \ cm^{3}$

This would make $167 \ cm^{3}$ the closest option.